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Fill in the Blank:
The subtraction of two rational number 13−25\frac{1}{3}-\frac{2}{5}31−52 = __________________ .
−115\frac{-1}{15}15−1 (Rational)
4
10
If the degree of the denominator is greater than the degree of the numerator, then y=0 is a___________asymptote.
Horizontal
Vertical
Constant
Consider the function f(x)=1x−1. What is the vertical asymptote of the function ?f(x)=\frac{1}{x-1}.\ What\ is\ the\ vertical\ asymptote\ of\ the\ function\ ?f(x)=x−11. What is the vertical asymptote of the function ?
x=1x=1x=1
y=1y=1y=1
True or false: Rational functions have a range of all real numbers.
True
False
True or false : Rational functions have a domain of all real numbers.
Consider the function f(x)=1x. What is the vertical asymptote of the function ?f(x)=\frac{1}{x}.\ What\ is\ the\ vertical\ asymptote\ of\ the\ function\ ?f(x)=x1. What is the vertical asymptote of the function ?
x=0x=0x=0
y=0
Rational function is the ratio of two _________.
Polynomials
Identity
Empty set
If the horizontal asymptote of a rational function is y=0 , thedegree of the denominator isIf\ the\ horizontal\ asymptote\ of\ a\ rational\ function\ is\ y=0\ ,\ the\deg ree\ of\ the\ deno\min ator\ isIf the horizontal asymptote of a rational function is y=0 , thedegree of the denominator is ___________ the degree of the numerator.the\ \deg ree\ of\ the\ numerator.the degree of the numerator.
Greater than
Less than
Consider the function f(x)=x+12x−1. What is the horizontal asymptote of the function ?f(x)=\frac{x+1}{2x-1}.\ What\ is\ the\ horizontal\ asymptote\ of\ the\ function\ ?f(x)=2x−1x+1. What is the horizontal asymptote of the function ?
y=12y=\frac{1}{2}y=21
y=0y=0y=0
Fill in the Blank
1(x−2)\frac{1}{\left(x-2\right)}(x−2)1 is a rational function. the degree of the numerator can be __________,
Zero
One
Infinity
It is done.